Residential Lease Agreement. THIS LEASE AGREEMENT (hereinafter referred to as the "Agreement") made and entered into this.Forms ; Summons extra caption. PDF ; Complaint sample. A New York lease agreement is a binding contract that allows a landlord to rent residential or commercial space to a tenant in exchange for payment. The completed typewritten form must be filled out correctly prior to emailing your request. Incorrectly filled forms will be rejected. The forms can be filled in on the computer. Intheblanks form required for any matter originating and electronically filed in Supreme or Surrogate's Courts in Richmond County. Enter the name of the LLC in the space in the title.